`a concept of quantity that is or can be derived from a single unit, the sum of a collection of units, or zero. Every number occupies a unique position in a sequence, enabling it to be used in counting. It can be assigned to one or more sets that can be arranged in a hierarchical classification: every number is a complex number; a complex number is either an imaginary number or a real number, and the latter can be a rational number or an irrational number; a rational number is either an integer or a fraction, while an irrational number can be a transcendental number or an algebraic numberSee complex number, imaginary number, real number, rational number, irrational number, integer, fraction, transcendental number, algebraic number See also cardinal number, ordinal number`

This check system – similar to the UPC check digit formula – does not catch all errors of adjacent digit transposition. Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance, the above example allows this situation with the 6 followed by a 1. The correct order contributes 3×6+1×1 = 19 to the sum; while, if the digits are transposed (1 followed by a 6), the contribution of those two digits will be 3×1+1×6 = 9. However, 19 and 9 are congruent modulo 10, and so produce the same, final result: both ISBNs will have a check digit of 7. The ISBN-10 formula uses the prime modulus 11 which avoids this blind spot, but requires more than the digits 0-9 to express the check digit.

###### A check digit is a form of redundancy check used for error detection, the decimal equivalent of a binary check bit. It consists of a single digit computed from the other digits in the number. The method for the ten-digit code is an extension of that for SBNs, the two systems are compatible, and SBN prefixed with "0" will give the same check-digit as without – the digit is base eleven, and can be 0-9 or X. The system for thirteen-digit codes is not compatible and will, in general, give a different check digit from the corresponding 10-digit ISBN, and does not provide the same protection against transposition. This is because the thirteen-digit code was required to be compatible with the EAN format, and hence could not contain an "X".

**Within the 979 prefix element, the registration group identifier 0 is reserved for compatibility with International Standard Music Numbers (ISMNs), but such material is not actually assigned an ISBN.[12] The registration group identifiers within prefix element 979 that have been assigned are 10 for France, 11 for the Republic of Korea, and 12 for Italy.[37]**

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**I would like to number a voucher book, i have place 4 vouchers on a page, the thing is that i want each of these vouchers to start with different number, 100, 200, 300, 400, and then i want to number them 99 times. The problem is that they have to be numbered only 1 per page, so that when i have printed them all i can easily crop them and staple them right up with having to go through it all.**

**1. digit, figure. 2. Number, sum both imply the total of two or more units. Number applies to the result of a count or estimate in which the units are considered as individuals; it is used of groups of persons or things: to have a number of items on the agenda. Sum applies to the result of addition, in which only the total is considered: a large sum of money. 20. copy, edition.**